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Simplifying -15 + -14(x + 1) = -11x + 8(x + -16) Reorder the terms: -15 + -14(1 + x) = -11x + 8(x + -16) -15 + (1 * -14 + x * -14) = -11x + 8(x + -16) -15 + (-14 + -14x) = -11x + 8(x + -16) Combine like terms: -15 + -14 = -29 -29 + -14x = -11x + 8(x + -16) Reorder the terms: -29 + -14x = -11x + 8(-16 + x) -29 + -14x = -11x + (-16 * 8 + x * 8) -29 + -14x = -11x + (-128 + 8x) Reorder the terms: -29 + -14x = -128 + -11x + 8x Combine like terms: -11x + 8x = -3x -29 + -14x = -128 + -3x Solving -29 + -14x = -128 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -29 + -14x + 3x = -128 + -3x + 3x Combine like terms: -14x + 3x = -11x -29 + -11x = -128 + -3x + 3x Combine like terms: -3x + 3x = 0 -29 + -11x = -128 + 0 -29 + -11x = -128 Add '29' to each side of the equation. -29 + 29 + -11x = -128 + 29 Combine like terms: -29 + 29 = 0 0 + -11x = -128 + 29 -11x = -128 + 29 Combine like terms: -128 + 29 = -99 -11x = -99 Divide each side by '-11'. x = 9 Simplifying x = 9
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